1.6.37 Fields, Groups, Rings

Condition: Let \ (G \) Cyclic group \ (c_ {n} \). Let \ (a, b \ in g \) and \ (s \ in \ mathb {n}, s \ geq 1 \) are such that \ (a^{s} = b^{s} \), NOD \ ((s, n) = 1 \). Show that \ (a = b \).